Question

before 1918, approximately 60 % of thenwolves in a region were male, and 40 % were female. however , cattle ranchers in this area have made a determined effort to exterminate wolves. from 1918 to the present , approximately 65 % of wolves in the region are male and 35 % are female. Biologist suspect that male wolves are more likely than females to return to an area where the population has been greatly reduced. ( round your answer to three devimal places)

a. before 1918, in a random sample of 12 wolves spotted in the region, what is the probability that 9 or more were males ?

what is the probability that 9 or more were female ?

b. what is the probability that fewer than 6 were female?

c. for the period from 1918 to the present in a ramdom sample of 12 wolves spotted im the region , what is the probability that 9 or more were male?

d. what is the probability that 9 or more were female ?

e. what is the probability that fewer than 6 were female?

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Answer 1

o b before 1913, . f*: No of males in the group. It follows binomial dist. where p=0.6, q=1-8=014, n=12 $(x-x)= (3)(0.6)*(0.4)2-2 @ PCX7, 9) = 3 13)(0.65*0.4)?? 0.2253 Pls or more female) = P( 3 or less male) =PLx53), (3)1063*0.4)2?0.0153 6 Plfewer than & female) = P(more than = P(x>6) = Ž (3)(0.65%(0.4)2.7 0.6652 for eldre. P(x = x)= (13)(0.6538(0.3572_x PC or more male): P(x29) (3)(0-65)*(0.38)22 0.3467 @ P (9 or more females: P(atmost 3 male = Plx-3)= (13)(0-65310-35)20.0056 @ PCX86) 3 (13)(0.65*0.35)27 0.7873